Does God forget things? Why would I need to remind Him?
The Hebrew root for "remember" shows up three times in this short paragraph. That sounds like God might forget, the way you forget where you left your keys.
The people who wrote these words did not think so. The Rosh Hashanah prayer that shares these words ends by saying to God: "You remember everything that is forgotten, and there is no forgetting before Your throne of glory." Abudarham (a commentary on the prayers, written in Spain around 1340) explains: the things people forget, God remembers.
So what does "remember" mean? Radak (Rabbi David Kimchi, a commentator on Tanach in Provence around 1200) takes the question head on. On the verse "God remembered Noach" he writes: "There is no forgetting and no remembering before Him, because remembering only comes after forgetting. The Torah speaks in human language so that listeners will understand." He says the same about God "remembering" the covenant.
For Radak, the verse means God saw that those in the ark had suffered enough. Look at how the verse continues: God sends a wind and the water starts to go down. "God remembered" is the point where things change for Noach.
The Gemara has a sharper version. The Jewish people say to God: since there is no forgetting before Your throne, maybe You will never forget the golden calf? God answers with a verse: "These, too, will be forgotten." So they ask: if there is forgetting, maybe You will forget Sinai? God answers with the end of the same verse: "But I will not forget you."
The Gemara does not explain how both answers can be true, and the question stays partly open. Radak's approach points to one way to read it: "remembering" is not about storing information. It is about what God acts on. That is the request here. Of everything on the record, act on the covenant.
Rosh Hashanah Musaf, Zichronot,Abudarham, Rosh Hashanah, Musaf,Radak on Bereishit 8:1,Berakhot 32b, on Yeshayahu 49:15Why should I get credit for something Avraham did?
The Gemara asks a related question: when did the merit of the ancestors (in Hebrew, zechut avot) run out? Four rabbis give four answers: in the days of the prophet Hoshea, of Chazael king of Aram, of Eliyahu, or of King Chizkiyahu. Every one of those dates is more than 2,500 years ago.
So how can anyone still say a paragraph like this one? Tosafot (the medieval commentaries printed alongside the Gemara) record two answers.
Rabbeinu Tam (Rashi's grandson, France, 1100s) says the merit of the ancestors ran out, but the covenant with the ancestors did not. The Torah promises that even in exile God will remember "My covenant with Yaakov." He adds: "We do not mention the merit of the ancestors, only the covenant." Now look at what this paragraph lists before the Akedah: love, a covenant, a kindness, an oath. As Abudarham explains them, the covenant, the kindness and the oath are all things God gave or promised.
Another of the Tosafot rabbis, the Ri, disagrees. The merit ran out only for the wicked. For the righteous it still stands, "and on this we rely when we mention the merit of the ancestors."
The Midrash (here Vayikra Rabbah, rabbinic teachings on the book of Vayikra) has more than one voice too. Rabbi Acha says the merit of the ancestors stands forever. Another teaching there says: if you see the merit of the fathers slipping and the merit of the mothers shaking, go and hold on to kindness, because God says, "The mountains may move, but My kindness will not leave you."
And the sources that bring up the Akedah do not leave it as free credit. Rabbi Yosef Karo says it is recited for two reasons: to recall the ancestors' merit, and to bend your own impulses the way Yitzchak gave himself. When the Gemara explains the ram's horn on Rosh Hashanah, God says: "I will remember the binding of Yitzchak for you, and I count it as if you had bound yourselves before Me."
Shabbat 55a with Tosafot,Vayikra 26:42,Vayikra Rabbah 36:6, on Yeshayahu 54:10,Abudarham, Rosh Hashanah, Musaf,Beit Yosef, Orach Chaim 1,Rosh Hashanah 16a